106981
106981 106981
  • 12-01-2019
  • Mathematics
contestada

Rewrite the parametric equations in Cartesian form x=3cos t, y=-sin t

Respuesta :

MrBillDoesMath MrBillDoesMath
  • 12-01-2019

Hello from MrBillDoesMath!

Answer:

(x^2)/9 + y^2 = 1


Discussion:

x = 3cost =>     x/3 = cost

                         y    = sint

Using  (sint)^2 + (cos)^2  =1 and substituting the above x and y values gives:


(x/3)^2 + y^2  = (cost)^2 + (sint)^2 = 1  or

(x^2)/9 + y^2 = 1

Thank you,

MrB

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